C–21
FFT Glossary
The following table lists the coefficients a
m
. The window
functions seen in the time domain are symmetric around the
point k = N/2.
Coefficients Of Window Functions
Window Type a0 a1 a2
Rectangular 1.0 0.0 0.0
von Hann 0.5 –0.5 0.0
Hamming 0.54 –0.46 0.0
Flat-Top 0.281 –0.521 0.198
Blackman-Harris 0.423 –0.497 0.079
Appendix C References Bergland, G.D., A Guided Tour of the Fast Fourier Transform,
IEEE Spectrum, July 1969, pp. 41–52.
A general introduction to FFT theory and applications.
Brigham, E.O., The Fast Fourier Transform, Prentice Hall, Inc.,
Englewood Cliffs, N.J., 1974.
Theory, applications and implementation of FFT. Includes
discussion of FFT algorithms for N not a power of 2.
Harris, F.J., On the Use of Windows for Harmonic Analysis with
the Discrete Fourier Transform, Proceedings of the IEEE, vol.
66, No. 1, January 1978, pp. 51–83.
Classic paper on window functions and their figures of merit,
with many examples of windows.
Ramirez, R.W., The FFT Fundamentals and Concepts, Prentice
Hall, Inc., Englewood Cliffs, N.J., 1985.
Practice-oriented, many examples of applications.
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